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GEOMETRY, H Mrs. Diaz NAME:_______________________________ DATE:_______________________________ UNIT 2 ASSIGNMENT #1 Reasoning in Algebra with Geometry DIRECTIONS: We are going to write a proof for the statement below, but before that lets work on our “Think Plan.” Write a two-column proof. Given: KM = 35 Prove: KL = 15 Know 1. What information are you given? 2. Use the figure. What information do you know from the figure? Need 3. To solve the problem, what will you need to prove? Plan 4. You can determine information using the figure. Analyze the figure. What equation can you write? 5. How can you use the equation and the information you know to find the value of x? 6. How can you use the value of x to show that KL = 15? 7. Use the space below to write the proof. Statements 1) KM = 35 Reasons 1) Given 2) ____________________________ 2) ____________________________ 3) ____________________________ 3) ____________________________ 4) ____________________________ 4) ____________________________ 5) ____________________________ 5) ____________________________ 6) ____________________________ 6) ____________________________ 7) ____________________________ 7) ____________________________ 8) ____________________________ 8) ____________________________ Additional Vocabulary Support Concept List Addition Property of Equality Distributive Property Division Property of Equality Multiplication Property of Equality Reflexive Property of Equality Substitution Property Subtraction Property of Equality Symmetric Property of Equality Transitive Property of Equality Choose the concept from the list above that best represents the item in each box. 1. If a = b, then a + c = b + c 4. If a = b, and b = c, then 2. If a = b, and c 0, then a b c c 5. If a = b, then b = a a=c 7. 3(12 – 4) = (3)(12) – (3)(4) 3. 12.5 = 12.5 6. If a = b, then a·c=b·c 8. If a = b, then a–c=b–c 9. a = –4 6a + 2 = 6(–4) + 2